A series of challenging fluid flow applications are used to demonstrate the powerful capabilities of the SPH method. The applications are classified according to whether they are industrial, geophysical or biophysical in nature. The versatility and flexibility of SPH allows it to be used to predict wide ranges of flow types with diverse coupled secondary physics and chemistry. The demonstration examples span free surface hydrodynamics, fluid-structure interactions, multiphase flows (bubbles and/or solids immersed in a fluid and multiple fluids with large density differences), and flows involving reactions and phase change. For the studies presented SPH demonstrates at least one and often several key advantages that make the method well suited to these applications. These include the natural handling of free surfaces (especially when splashing), strong advection (arising from the method being Lagrangian), very high deformation levels (due to being meshfree) and intrinsic history tracking (which provides specific benefits for flows with multiple materials, reactions and phase change).

一系列具有挑战性的流体流动应用被用来展示 SPH 方法的强大功能。这些应用程序根据其性质是工业、地球物理还是生物物理进行分类。SPH 的多功能性和灵活性使其可用于预测具有多种耦合二次物理和化学的各种流动类型。演示示例涵盖自由表面流体动力学、流固耦合、多相流（气泡和/或固体浸入流体和具有大密度差异的多种流体）以及涉及反应和相变的流。对于所介绍的研究，SPH 至少证明了一个并且通常是几个关键优势，这些优势使该方法非常适合这些应用。这些包括自由表面的自然处理（特别是在飞溅时），